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131202134133400 = 235211193309001729
BaseRepresentation
bin11101110101001111100000…
…100110010100101010011000
3122012112210122022110121102001
4131311033200212110222120
5114144103432314232100
61143013232304250344
736431020123224001
oct3565174046245230
9565483568417361
10131202134133400
1138894570316330
121286ba293109b4
13582940104c205
142458307cda1a8
151027d067ded6a
hex7753e0994a98

131202134133400 has 96 divisors (see below), whose sum is σ = 334500552759600. Its totient is φ = 47462665420800.

The previous prime is 131202134133347. The next prime is 131202134133437. The reversal of 131202134133400 is 4331431202131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154076265 + ... + 154925464.

Almost surely, 2131202134133400 is an apocalyptic number.

131202134133400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202134133400 is an abundant number, since it is smaller than the sum of its proper divisors (203298418626200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131202134133400 is a wasteful number, since it uses less digits than its factorization.

131202134133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309001949 (or 309001940 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131202134133400 its reverse (4331431202131), we get a palindrome (135533565335531).

The spelling of 131202134133400 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred thirty-four million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 193 200 220 275 386 440 550 772 965 1100 1544 1930 2123 2200 3860 4246 4825 7720 8492 9650 10615 16984 19300 21230 38600 42460 53075 84920 106150 212300 424600 309001729 618003458 1236006916 1545008645 2472013832 3090017290 3399019019 6180034580 6798038038 7725043225 12360069160 13596076076 15450086450 16995095095 27192152152 30900172900 33990190190 59637333697 61800345800 67980380380 84975475475 119274667394 135960760760 169950950950 238549334788 298186668485 339901901900 477098669576 596373336970 656010670667 679803803800 1192746673940 1312021341334 1490933342425 2385493347880 2624042682668 2981866684850 3280053353335 5248085365336 5963733369700 6560106706670 11927466739400 13120213413340 16400266766675 26240426826680 32800533533350 65601067066700 131202134133400